In topology, a field within mathematics, desuspension is an operation inverse to suspension. [1]
In general, given an n- dimensional space , the suspension has dimension n + 1. Thus, the operation of suspension creates a way of moving up in dimension. In the 1950s, to define a way of moving down, mathematicians introduced an inverse operation , called desuspension. [2] Therefore, given an n-dimensional space , the desuspension has dimension n – 1.
In general, .
The reasons to introduce desuspension:
In topology, a field within mathematics, desuspension is an operation inverse to suspension. [1]
In general, given an n- dimensional space , the suspension has dimension n + 1. Thus, the operation of suspension creates a way of moving up in dimension. In the 1950s, to define a way of moving down, mathematicians introduced an inverse operation , called desuspension. [2] Therefore, given an n-dimensional space , the desuspension has dimension n – 1.
In general, .
The reasons to introduce desuspension: